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Complex factorization and recursion for one-loop amplitudes / Sam Alston, David Dunbar, Warren Perkins

Physical Review D, Volume: 86, Issue: 8, Start page: 085022

Swansea University Authors: David Dunbar, Warren Perkins

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Abstract

We consider the factorisation of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the B...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2012
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URI: https://cronfa.swan.ac.uk/Record/cronfa13423
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Abstract: We consider the factorisation of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the Bern et.al. n-point ansatze for the single-minus one-loop amplitudes in Yang-Mills theory and by constructing the scalar contribution to the one-loop five graviton MHV scattering amplitude.
College: College of Science
Issue: 8
Start Page: 085022